Question

below are iq scores from 30 randomly selected adults. { 77, 80, 84, 85, 86, 88, 93, 95, 96, 100, 104, 104, 105, 107, 107, 107, 108, 108, 108, 108, 110, 111, 112, 113, 114, 114, 118, 120, 132, 137 }. first, give the mean of the data set. 103.6 × part 2 of 6 next, give the median of the data set.

Explanation:

Step1: Arrange data in order

The data is already in ascending - order: $\{77, 80, 84, 85, 86, 88, 93, 95, 96, 100, 104, 104, 105, 107, 107, 107, 108, 108, 108, 108, 110, 111, 112, 113, 114, 114, 118, 120, 132, 137\}$

Step2: Calculate median position

Since $n = 30$ (even number of data - points), the median position is $\frac{n}{2}=15$ and $\frac{n}{2}+1 = 16$.

Step3: Find median values

The 15th value is $107$ and the 16th value is $107$.

Step4: Calculate median

Median=$\frac{107 + 107}{2}=107$

Answer:

$107$